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Finding the Fourth Proportional to 173,878.20, 260,817.30 and 120,223.80

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Solution

The fourth proportional to 173,878.20, 260,817.30 and 120,223.80 is: 180,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,878.20 : 260,817.30 = 120,223.80 : x
  2. Step 2: Convert to fraction form
    173,878.20/260,817.30 = 120,223.80/x
  3. Step 3: Cross multiply
    173,878.20x = 260,817.30 × 120,223.80
  4. Step 4: Simplify right side
    173,878.20x = 31,356,446,911.74
  5. Step 5: Solve for x
    x = 31,356,446,911.74/173,878.20
  6. Step 6: Final answer
    x = 180,335.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.